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A gene has four alleles, A1, A2, A3, and A4. The alleles occur in a population at the following frequencies: A1=0.2, A2=0.1, A3=0.4, A4=0.3. Compute the following: a) Probability that a single allele chosen at random is either A1 or A4 b) Probability than an individual as two A1 alleles c) Probability that an individual has one A1 and one A3 allele d) Probability that an individual is NOT A1A1 e) Probability that if we drew two individuals at random,...

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• ### Urgent!!! Please show all the answers and clearly mark them and please show values of a1,a2,a3,a4,a5...

Urgent!!! Please show all the answers and clearly mark them and please show values of a1,a2,a3,a4,a5 and b1-b6. Thank you! (1 point) The second order equation x2y" + xy + (x2 - y = 0 has a regular singular point at x = 0, and therefore has a series solution y(x) = Σ C+*+r N=0 The recurrence relation for the coefficients can be written in the form of C.-2, n = 2,3,.... Ch =( (The answer is a function of...

Please help , answer the question fully with each step PROBLEM 2 A source has an alphabet fa, a, a, a,} with corresponding probabilities 10.1, 0.2, 0.3,0.4 1. Find the entropy of the source. 2. Design a Huffman code for this source and compare the average length of the Huffman code with the entropy of the source. 3. Design a Huffman code for the second extension of the source (take two letters at a time). What is the average codeword...

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